There’s something to be greatly appreciated with this concert film qualifying and quantifying the immensity of the Rolling Stones, in one remixed, re-edited, remastered CD/DVD set. Since the ‘60s, the Stones have been a self-referential beast–as the “greatest rock-and-roll band in the world.” Five decades into an immortally storied career comes a free concert on Rio’s Copacabana Beach drawing an approximate 1.5 million people; not to mention the millions populating the worldwide audience tuning in for the event.

It’s an incredible, and possibly record-setting, achievement, and one the Stones accept and reward with a punchy two-hour show built heavily around the group’s classic catalog. There is also the requisite support for the album-A Bigger Bang-that prompted the 2006 tour, with a couple of its new numbers sprinkled into the setlist. Make no mistake, though- of the 20 tracks, 14 register as vintage Stones.

Mick Jagger continues to be the band’s magnetic and charismatic center. Flanked by the gloriously ragged guitars of Keith Richards and Ron Wood, and buttressed by indefatigable drummer Charlie Watts, plus an ensemble of horn men, singers, and lock-tight rhythm section, Jagger remains the Stones’ spark. He’s particularly amped up on this steamy February night, sweating through several wardrobe changes, dropping spirited ad-libs between songs in his best native tongue, as well as whooping and working out vocally without tiring, stopping only for a mid-show interlude as Keith showcases “This Place is Empty” and “Happy.”

Safe to say, the band feels the adrenalin of a million-plus on the beach- with occasional overhead shots reminding of just how endless is the mass of bodies in the sand and streets- powering through the final seven war horses with the energy of a group half its age. Of particular note is “Sympathy for the Devil,” whose hints of samba play, accordingly, much lighter, more celebratory in Rio than the noir nugget would usually imply; its refrain of “woo-woos” echoing into the night long after the song, and concert, have ended.

The Rolling Stones have never shied from a playful boast: and titling an album and tour suggesting theirs is an existence eclipsing the creation of the universe is crazily justified with a performance such as this one. Give them credit: A free show in Rio drawing 1.5 million is a bigger bang, for sure. Maybe the biggest.